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Yes, but greater than all negative integers
Positive numbers are greater than zero and negative numbers are less than zero. They are both collectively referred to as real numbers.
No. Zero is neither positive nor negative, by definition. A positive number is greater than zero. A negative number is less than zero. Although, zero is a non-negative number (a set that includes all positive numbers and zero).
A positive number is one that is greater than zero. A negative number is one that is less than zero. To visualize this, it is convenient to look at the numbers on a number line. A positive number is to the right of zero.
Positive integers are whole numbers greater than 0. In other words 1, 2, 3, ... Negative integers are whole numbers less than zero. Such as -1, -2, -3, ...